PSLE The students at a sports meet are divided in Team A and Team B. The ratio of the number of girls to boys in Team A is 3 : 1. The ratio of the number of girls to boys in Team B is 2 : 1. There are 3 times as many students in Team B as in Team A. There are 60 more girls in Team B than Team A. What is the total number of students?
Team A |
Team B |
4 u |
3x4 = 12 u |
Girls |
Boys |
Girls |
Boys |
3 u |
1 u |
2x4 = 8 u |
1x4 = 4 u
|
Total number of students in Team A
= 3 u + 1 u
= 4 u
Total number of students in Team B
= 3 x 4 u
= 12 u
The total number of students in Team B is repeated.
Use LCM to make the total number of students in Team B the same.
LCM of 12 and 3 is 12.
Number of more girls in Team B than Team A
= 8 u - 3 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Total number of students
= 3 u + 1 u + 8 u + 4 u
= 16 u
= 16 x 12
= 192
Answer(s): 192